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Finding the Fourth Proportional to 28,274.58, 42,400.26 and 10,506.42

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Solution

The fourth proportional to 28,274.58, 42,400.26 and 10,506.42 is: 15,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,274.58 : 42,400.26 = 10,506.42 : x
  2. Step 2: Convert to fraction form
    28,274.58/42,400.26 = 10,506.42/x
  3. Step 3: Cross multiply
    28,274.58x = 42,400.26 × 10,506.42
  4. Step 4: Simplify right side
    28,274.58x = 445,474,939.67
  5. Step 5: Solve for x
    x = 445,474,939.67/28,274.58
  6. Step 6: Final answer
    x = 15,755.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.